Hate to see families going bankrupt trying to care for their loved ones.
If $10k is enough to file BK they have more issues than medical bills. Most folks have car loans more than double that figure.
I think single payor over $100K would work well.
A health policy where the most it could pay out is $100K for the year would be pretty affordable, especially if it could be rated based on risk.
A cat policy with a $100k SIR is not that expensive, especially if written on a "group" basis (such as with single payer).
Cat claims don't make health insurance expensive. It is all the nuisance claims under $1500 or so.
Last data I saw indicated about 4% of claims exceeded $100k.